10004340001320 has 256 divisors, whose sum is σ = 38173961664000. Its totient is φ = 2282974875648.

The previous prime is 10004340001307. The next prime is 10004340001363. The reversal of 10004340001320 is 2310004340001.

10004340001320 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 340 + 0 + 0 + 1 + 320 = 666.

It is a super-2 number, since 2×10004340001320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10004340001293 and 10004340001302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3554896 + ... + 5713664.

It is an arithmetic number, because the mean of its divisors is an integer number (149117037750).

Almost surely, 2^{10004340001320} is an apocalyptic number.

10004340001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004340001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19086980832000).

10004340001320 is an abundant number, since it is smaller than the sum of its proper divisors (28169621662680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10004340001320 is a wasteful number, since it uses less digits than its factorization.

10004340001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159409 (or 2159399 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10004340001320 its reverse (2310004340001), we get a palindrome (12314344341321).

The spelling of 10004340001320 in words is "ten trillion, four billion, three hundred forty million, one thousand, three hundred twenty".